The silver Oxford pump looks to be a later, replacement part.
The black-painted steel pump was standard for many years. An "upgrade" to a lighter pump would have been the black celluloid "RI" pump or a aftermarket celluloid.
The celluloid pumps are very fragile. I've found only a few of those celluloid pumps that are still working and intact. They are prone to cracking if something bumps into them, which is common in a crowded garage. The ultimate solution was an aluminum pump. By the later 1950s the black-painted aluminum with a plastic handle was standard. It was common that when a pump would get damaged or stop working, the owner would just get rid of it or replace it.
I don't know of any solution to repair a cracked celluloid pump that will withstand much use. Celluloid can be mended using MEK (works well, but toxic and hard to find) or acetone (works OK, tends to bubble more, easier to find). But it will tend to crack again if you try to use the pump. I've done it for a pump that basically was to ride on the bike and display only. I wouldn't rely on it as an actual inflator after the repair. I suppose one could sleeve the crack with some kind of modern material, but I've never gone that far with it. I suppose duct tape would work for awhile, but eventually start to leak again.
The aluminum and steel pumps can be repaired if you make a properly-sized mandrel from a hardwood handle. The last couple mandrels I made came from an old broom handle that was sanded down a bit.
If you're riding serious miles and need a reliable inflator, the modern ones work better. These old inflators will work if kept in good shape, but the technology has improved quite a bit over the past 75 years.